AI.Clustering.Hierarchical.Internal:average from clustering-0.2.1, B

Average Error: 0.0 → 0.0

Time: 11.8s

Precision: 64

• Falling back on racket egraph because egg-herbie package not installed

Math

\[\frac{x}{y + x}\]

↓

\[\frac{x}{y + x}\]

C

double f(double x, double y) {
        double r334841 = x;
        double r334842 = y;
        double r334843 = r334842 + r334841;
        double r334844 = r334841 / r334843;
        return r334844;
}

↓

double f(double x, double y) {
        double r334845 = x;
        double r334846 = y;
        double r334847 = r334846 + r334845;
        double r334848 = r334845 / r334847;
        return r334848;
}

Error

Bits error versus x

Bits error versus y

Derivation

1. Initial program 0.0

   \[\frac{x}{y + x}\]

2. Final simplification 0.0

   \[\leadsto \frac{x}{y + x}\]

Reproduce

herbie shell --seed 2020047 
(FPCore (x y)
  :name "AI.Clustering.Hierarchical.Internal:average from clustering-0.2.1, B"
  :precision binary64
  (/ x (+ y x)))